Algebra, difficulty level 2. Given four polynomials, find an expression that uses each of them
once, involves multiplication, addition and subtraction, and results
in a given binomial when simplified.
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Algebra, difficulty level 3. The product of any four consecutive integers, increased by one, is always a square number. Give at least three instances of that statement and prove that this will always occur by finding an algebraic expression for that "square number."
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